From 231fca07b864266e7299f40dc7b5012f0c368023 Mon Sep 17 00:00:00 2001 From: eggy Date: Fri, 18 Nov 2022 18:09:39 -0500 Subject: [PATCH] math115: fix col space definition --- docs/ce1/math115.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/ce1/math115.md b/docs/ce1/math115.md index 88dac4c..b2db6a1 100644 --- a/docs/ce1/math115.md +++ b/docs/ce1/math115.md @@ -654,7 +654,7 @@ $$\text{Null}(A) = \{\vec x\in\mathbb R^n | A\vec x = \vec 0\}$$ Its dimension is equal to the number of free vectors in RREF. -The **column space** of a matrix is the set of all linear combinations of its columns, which can be found by taking a linearly independent subset of the matrix (non-free vectors in RREF). +The **column space** of a matrix is the set of all linear combinations of its columns, which can be found by taking a linearly independent subset of the matrix (the **original vectors** of the non-free vectors in RREF). $$\text{Col}(A) = \{A\vec x |\vec x\in\mathbb R^n \} = \text{Span}\{\vec a_1, \vec a_2, ..., \vec a_n\}$$